Practica La Facorizacion

Práctica la factorización _0855

1. x2 - 16 = 0
X2 = 16
X = √16
X1 = 4
X2 = -4

2. x2 + 3x – 10 = 0
(x + 5) (x – 2)
x + 5 = 0 x – 2 = 0
x1 = -5x2 = 2

3. x2 – 8x + 15 = 0
(x – 5) (x – 3)
x – 5 = 0 x – 3 = 0
x1 = 5 x2 = 3

4. x2 – 5x = 0
(x – 5) (x + 0)
x – 5 = 0 x + 0 = 0
x1 = 5x2 = 0

5. x2 – 4x + 4 = 0
(x – 2) (x – 2)
x – 2 = 0 x – 2 = 0
x1 = 2 x2 = 2

6. x2 – 2x - 24 = 0
(x + 4) (x – 6)
x + 4 = 0 x – 6= 0
x1 = -4 x2 = 6

7. 2x2 – 11x - 6 = 0
2(2x2) - 11(2x) – 2 (6) = 0
4x2 – 11(2x) – 12 = 0 z = 2x z2 = 4x2
z2 - 11z – 12 = 0
(z –12) (z + 1)
2x – 12= 0 2x + 1 = 0
2x = 12 2x = -1
x1 = 6 x2 = - 1
2

8. 3x2 + 2x -1 = 0
3(3x2) + 2(3x) – 3 (1) = 0
9x2 + 2(3x) – 3 = 0 z = 3x z2 = 9x2
z2 + 2z – 3 = 0
(z + 3) (z – 1)
3x + 3 = 0 3x -1 = 0
3x = -33x = 1
x1 = -1 x2 = 1
3

9. 3x2 - 7x - 6 = 0
3(3x2) – 7(3x) – 3(6) = 0
9x2 – 7(3x) – 18 = 0 z = 3xz2 = 9x2
z2 – 7z – 18 = 0
(z + 2) (z- 9)
3x + 2 = 0 3x – 9 = 0
3x = -2 3x = 9
X1 = -2 x2 = 9
3 3x2 = 3

10. 6x2 - 11x + 3 = 0
6(6x2) – 11(6x) + 6(3) = 0
36x2 – 11(6x) + 18 = 0 z = 6x z2 = 36x2
Z2 – 11z + 18 = 0
(z – 9) (z – 2)
6x –9 = 0 6x – 2 = 0
6x = 9 6x = 2
x = 9 x = 2
6 6

x1 = 3 x2 = 1
2 3